interchanging 3 piles by a sequence of moves
Source: Brazilian Mathematical Olympiad 1982 P4
July 27, 2018
combinatoricsgame
Problem Statement
Three numbered tiles are arranged in a tray as shown:
https://cdn.artofproblemsolving.com/attachments/d/0/d449364f92b7fae971fd348a82bafd25aa8ea1.jpg
Show that we cannot interchange the and the by a sequence of moves where we slide a tile to the adjacent vacant space.